Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40848k |
Isogeny class |
Conductor |
40848 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-7623217152 = -1 · 212 · 37 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 0 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2776,-57388] |
[a1,a2,a3,a4,a6] |
Generators |
[68:270:1] |
Generators of the group modulo torsion |
j |
-577801395289/1861137 |
j-invariant |
L |
9.2813211526136 |
L(r)(E,1)/r! |
Ω |
0.3287894655798 |
Real period |
R |
2.0163404862503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2553a1 122544bh1 |
Quadratic twists by: -4 -3 |